Sculptural Forms Based on Radially-developing Fractal Curves

Aus de_evolutionary_art_org
Wechseln zu: Navigation, Suche


Robert Fathauer: Sculptural Forms Based on Radially-developing Fractal Curves. In: Bridges 2017, Pages 25–32.



Fractal curves that develop spatially in a linear manner over several generations give rise to captivating sculptural forms. A variety of such structures are explored using different fractal curves, with the use of multiple copies allowing the creation of closed sculptural forms that are more vase- or pot-like. More complex, visually rich, and natural forms are generated by developing fractal curves radially in three dimensions. Computer graphics, 3D printing, paper folding, and ceramic sculpture are used to explore and elaborate these constructions.

Extended Abstract


 author      = {Robert Fathauer},
 title       = {Sculptural Forms Based on Radially-developing Fractal Curves},
 pages       = {25--32},
 booktitle   = {Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture},
 year        = {2017},
 editor      = {David Swart, Carlo H. S\'equin, and Krist\'of Fenyvesi},
 isbn        = {978-1-938664-22-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 note        = {Available online at \url{}}

Used References

[1] David Bachman, Robert Fathauer, and Henry Segerman. Mathematical Art Galleries. (as of January 30, 20t17).

[2] R. Fathauer. Robert Fathauer – art inspired by mathematics and nature. (as of January 30, 2017).

[3] R. Fathauer. Some Hyperbolic Fractal Tilings. In Gary Greenfield, George Hart, and Reza Sarhangi, editors, Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, pages 87-94, Phoenix, Arizona, 2014, Tesselations Publishing. Available online at

[4] R. Fathauer. Hyperbolic Fractal Tilings and Folded Structures. (as of January 30, 2017).

[5] G. Irving and H. Segerman, “Developing Fractal Curves”, J. Mathematics and the Arts, Vol. 7, pp. 103-121. 2013.

[6] Jeffrey Ventrella, Brainfilling Curves – A Fractal Bestiary. (as of January 30, 2017).


Full Text

internal file

Sonstige Links